참고문헌
- G. B. Dantzig and P. Wolfe, 'Decomposition principle for linear programs', Operations Research, 8, January 1960
- L. S. Lasdon. Optimization Theory for Large Systems, The Macmillan Company, New York, 1970
- L. S. Lasdon and S. D. Schoeffer, 'A multilevel technique for optimization,' Proc, JACC, Troy, NY, 1965
- M. D. Mesarovic, D. Macko, and Y Takahara, Theory of Hierarchical, Multilevel, Systems, Mathematics in Science and Engineering. Academic Press, New York, 1970
- N. I. Deeb and S. M. Shahidehpour, 'Linear reactive power optimization in a large power network using the decomposition approach,' IEEE Transactions on Power Systems, vol. 5, no. 2, pp. 428-438, May 1990 https://doi.org/10.1109/59.54549
- J. Wernerus and L. Soder, 'Area price based multiarea economic dispatch with transmission losses and constraints,' Paper SPT PS 75-05-0337 presented at IEEE/KTH Stockholm Power Tech Conference, Stockholm, Sweden, June 18-77, 1995
- B. H. Kim and R. Baldick, 'Coarse-grained distributed optimal power flow,' IEEE Transactions on Power Systems, vol. 12, no. 2, pp. 932-939, May 1997 https://doi.org/10.1109/59.589777
- R. Baldick, B. H. Kim, C. Chase, and Y. Luo, 'A first distributed implementation of optimal power flow,' IEEE Transactions on Power Systems, vol. 14, pp. 853-863, August 1999
- A. J. Conejo, J. A. Aguado, 'Multi-area coordinated decentralized DC optimal power flow,' IEEE Transactions on Power Systems, vol. 13, no. 4, pp. 1272-1278, November 1998 https://doi.org/10.1109/59.736264
- A. G. Bakirtizis and P. N. Biskas, 'A decentralized solution to the DC-OPF of interconnected power system,' IEEE Transactions on Power Systems, vol. 18, pp. 1007-1013, August 2003 https://doi.org/10.1109/TPWRS.2003.814853
- P. N. Biskas, A. G. Bakirtzis, 'A decentralized implementation of DC optimal power flow on a network of computers,' IEEE Transactions on power Systems, vol. 20, no. 1, pp. 25-33, February 2005 https://doi.org/10.1109/TPWRS.2004.831283
- J. A. Aguado and V. H. Quintana, 'Inter-utilities power exchange coordination: A market-oriented approach,' IEEE Transactions on Power Systems, vol. 16, pp. 513-519, 2001 https://doi.org/10.1109/59.932289
- X. Wang, Y. H. Song, and Q. Lu, 'Lagrangian decomposition approach to active power congestion management across interconnected regions,' lEE Proc. Gener. Transm. Distrib., vol. 148, pp. 497-503, 2001
- K. Xie and Y. H. Song, 'Power market oriented optimal power flow via an interior point method,' lEE Proc. Gener. Transm. Distrib., vol. 148, pp. 549-556, 2001 https://doi.org/10.1049/ip-gtd:20010643
- W. D. Rosehart, C. A. Canizares, and V. H. Quintana, 'Multiobjective optimal power flows to evaluate voltage security costs in power networks,' IEEE Transactions on Power Systems, vol. 18, pp. 578-587, 2003 https://doi.org/10.1109/TPWRS.2003.810895
- G. Chen. Proximal and Decomposition Method for Convex Programming, PhD thesis, University of Maryland Baltimore, 1993
- E. Gelman and J. Mandel, 'On multilevel iterative methods for optimization problems,' Mathematical Programming, 48, pp. 1-17, 1990 https://doi.org/10.1007/BF01582249
- O. Guler, 'On the convergency of the proximal point algorithm for convex minimization,' SIAM Journal on Control and Optimization, 29(2), pp. 403-419, March 1991 https://doi.org/10.1137/0329022
- P. Tseng. 'Applications of a splitting algorithm to decomposition in convex programming and variational inequalities,' SIAM Journal on Control and Optimization, 29(1), pp. 119-138, January 1991 https://doi.org/10.1137/0329006
- N. Watanabe, Y. Nishimura, and M. Matsubara, 'Decomposition in large system optimization using the method of multipliers,' SIAM Journal on Control and Optimization, 25(2), pp. 181-193, June 1978
- A. P. Wierzbiki and S. Kurcyusz, 'Projection on a cone, penalty functionals and duality theory for problems with inequality constraints in Hilbert space,' SIAM Journal on Control and Optimization, 15(1), pp. 25-56, January 1977 https://doi.org/10.1137/0315003
- H. Uzawa. Studies in Linear and Nonlinear Programming, Springer-Verlag, 1958
- R. T. Rockafellar, 'Hamiltonian trajectories and duality in the optimal control of linear systems with convex costs,' SIAM Journal on Control and Optimization, 27(5): 1007-1025, September 1987
- D. G. Luenberger. Linear and Nonlinear Programming, Addison-Wesley Publishing Company, Reading, Massachusetts, second edition, 1984
- Y. Wu, A. S. Debs, and R. I. Marsten, 'A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows,' IEEE Transactions on Power Systems, vol. 9, no. 2, pp. 876-883, May 1994 https://doi.org/10.1109/59.317660
- J. Batut and A. Renaud, 'Daily generation scheduling optimization with transmission constraints: A new class of algorithms,' IEEE Transactions on Power Apparatus and Systems, vol. 7, no. 3, pp. 982-989, August 1992 https://doi.org/10.1109/59.207311
- Reliability Test System Task Force of the application of probability methods subcommittee, 'The IEEE Reliability Test System-1996,' Paper 96 WM 326-9 PWRS presented at IEEE/PES Winter Meeting, Baltimore, MD, January 21-25, 1996
- M. L. Baughman et al., Electric Utility Resource Planning and Production Costing Projects: Final Report, Center for Energy Studies, The University of Texas at Austin, 1993
피인용 문헌
- Investigation of Maximum Possible OPF Problem Decomposition Degree for Decentralized Energy Markets vol.30, pp.5, 2015, https://doi.org/10.1109/TPWRS.2014.2365959
- High-power CSI-fed induction motor drive with optimal power distribution based control vol.98, pp.11, 2011, https://doi.org/10.1080/00207217.2011.601445
- A new approach to generation scheduling in interconnected power systems using predictor-corrector proximal multiplier method vol.94, pp.3, 2012, https://doi.org/10.1007/s00202-012-0235-9
- A complete decomposition and coordination algorithm for large-scale hydrothermal optimal power flow problems vol.12, pp.4, 2017, https://doi.org/10.1002/tee.22404